A) \[\sqrt{(\sqrt{7}}-1)R\]
B) \[\sqrt{5}R\]
C) \[\sqrt{3}R\]
D) \[\sqrt{7}R\]
Correct Answer: D
Solution :
[d] Magnetic field on axis of circular coil is \[\frac{{{\mu }_{0}}i{{R}^{2}}}{2{{({{R}^{2}}+{{x}^{2}})}^{3/2}}}=\frac{{{\mu }_{0}}i{{R}^{2}}}{2{{({{R}^{2}}+{{x}^{2}})}^{3/2}}}=\frac{{{\mu }_{0}}{{i}_{2}}{{R}^{2}}}{2{{({{R}^{2}}+{{x}^{2}})}^{3/2}}}\] \[x=\sqrt{7}R\]
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